A178177 Numbers n such that n^4+5^4+3^4=n^4+706 is prime.

3, 23, 25, 47, 53, 67, 73, 89, 101, 103, 109, 117, 143, 145, 151, 157, 179, 187, 229, 273, 289, 297, 339, 375, 385, 395, 429, 455, 497, 521, 543, 557, 569, 619, 639, 649, 661, 703, 749, 759, 791, 795, 817, 821, 843, 889, 915, 961, 977, 1013, 1087, 1113, 1115, 1129, 1141, 1165, 1277, 1311, 1321, 1349, 1405, 1407, 1451, 1495, 1507, 1559, 1561, 1573, 1591, 1607, 1627, 1701, 1717, 1741, 1851, 1867, 1871, 1893, 1895, 1925, 1949, 1991

Offset: 1

Author

Zak Seidov, Dec 18 2010

Keywords

• nonn

Comments

Sequence contains squares m^2 for m =

5,17,31,47,121,143,207,221,319,343,371,423,429,451,467,485,525,529,683,787,805,955,....

Crossrefs

Supersequence of A160022 (Primes p such that p^4+5^4+3^4 is prime).

Programs

Mathematica

Select[Range[1,2000,2],PrimeQ[#^4+706]&]

PARI

is(n)=isprime(n^4+706) \\ Charles R Greathouse IV, Jun 13 2017